Question

Find all angles
maths 7th​

Answer 1

Answer :

• The measure of all angles are 60°, 90° and 30°

Step-by-step explanation ::

To Find :-

• The angles

Given that,

• The given unknown angles are 4x, 6x and 2x

Solution :-

As we know that,

Supplementary angles measures 180°,

• 4x + 6x + 2x = 180°

➠ 4x + 6x + 2x = 180

➠ 10x + 2x = 180

➠ 12x = 180

➠ x = 180/12

➠ x = 15

The value of x is 5.

According the question,

The measure of the angles are -:

➠ 4x = 4*15 = 60°

➠ 6x = 6*15 = 90°

➠ 2x = 2*15 = 30°

Now, Verification

➠ 4x + 6x + 2x = 180°

Putting the measure of the angles,

➠ 60 + 90 + 30 = 180

➠ 140 + 30 = 180

➠ 180 = 180

L.H.S = R.H.S

Hence, Verified!